Question

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations.y=sqrt(x - 2) - 1

Performing transformations
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asked 2021-01-19

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations.
\(y=\sqrt{x - 2} - 1\)

Answers (1)

2021-01-20

To determine:
Graph of \(y=\sqrt{x−2}−1\) by applying appropriate transformation.
Firstly, we will draw graph of \(y=\sqrt{x}\) which is given by:Y1
now, we will draw graph of \(y=\sqrt{x−2}\) by shifting the graph of \(y=\sqrt{x}\) two units towards right.
So, the graph of \(y=\sqrt{x−2}\) is as follows:Y2
Now, we will draw graph of \(y=\sqrt{x−2}−1\) by shifting the graph of \(y=\sqrt{x−2}\) one unit downward along y axis.
The graph of \(y=\sqrt{x−2}−1\) is given by:Y3
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